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The aim of our discussion is qualitative/quantitative estimation of
- pen charm production in
reactions with one flavor exchange
- pen charm production in
J-PARC hadron physics in 2016 Open en char arm production duction - - PowerPoint PPT Presentation
J-PARC hadron physics in 2016 Open en char arm production duction - - PowerPoint PPT Presentation
J-PARC hadron physics in 2016 Open en char arm production duction in exclusive e rea eact ctions ions at t PANDA-FAI AIR R an and J-PAR ARC C en ener ergy gy region ion Alexander Titov Bogoliubov Lab. of Theoretical Physics,
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Charmed and strange hadrons
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Challenges of some utilized models
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Open charm at high energy and pQCD models
“Intrinsic charm model” Brodsky et al, PLB93 (1980)
1
- M. Basile et al., Lett. Nuovo Cim. 30, 487 (1981)
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Effective Lagrangian Models Example:
- A. Eide et al., Nucl. Phys. B60,173 (1973)
(LEAR)
Heidenbauer, Krein et al., (1993-2015) Shyam&Lenske,(2015) Definite enhancement at forward production angles encourage for t-exchange channels
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Amplitude and cross sections
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Kinematics: momentum transfers
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experiment Wrong energy dependence Limited region of application
experiment
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Contrary to the hadron-exchange models,Regge approaches are work satisfactorily for strangeness production Chew-Frautschi plot
Therefore, there are doubts: non-linear?
linear trajectories
Similarity of and motivates for utilizing the Regge models for charm production
internal lines are associated with Regge trajectories
5 4 3 2 1
small yields of charm
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- V. Barger, R.Phillips, PRD 12 (1975)
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Possible solution is an approach based on non-perturbative quark-gluon string model discussed for the firrst time by S.Nussinov, (PRL34(1975) and F.Low ,PRD12 (1975)) The method of evaluation of observables based on utilizing the planar diagram for two body amplitude and it’s cutting In s-channel was elaborated by Kaidalov (almost 10 years later ) [Z.Phys. C 12 (1982)] and developed by Kaidalov et al. (in 1983-2005) and other groups: A.T., Kampfer(2008), A.Khojiamirian et al.(2012), G.Lykasov et al.(2010)… V. Grishina et al.(2005)(strangeness), Kim, Hosaka & et al., (2015) …. … Essentially, they discussed formation and decay of a color tube
with complicated intermediate (multi-particle) states
(In particularly for two-body exclusive processes!!)
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required diagram (amplitude) looks like “Regge trajectory” with an effective “ij” Reggeon
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(1) (2) (3)
factorization: Regge type of the individual and the “required amplitude”: with
A.Kaidalov, Z.Phys.C12, 62 (1982)
and
is a derivation of the consistent equations for The main advantage of Kaidalov’s approach based on
(i) (ii)
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Example:
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Non-linear trajectory reflects behavior of QCD motivated potential
string spin momentum string energy string tension frequency total string length
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17 Brisudova, Burakovsky, and Goldman PRD 61, (2000).
Non-linear Regge trajectories for diagonal channels
non-linear linear are taken as input
in a square root form
universal value
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19 Stoks & Rijken PRC, 59, 3009 (‘99)
unknown residual function
important note: for unpolarized case
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t - dependence
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energy dependence
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- Phys. Rev. C78,025291 (2008)
5…8
A.Khodjamirian,C. Klein, T.Mannel and Y.-M. Wang Eur.Phys.J.A.48,31(2012)
the uncertainties caused by LCSR of strong couplings
C(0) C(t)
the uncertainties caused by the residual function C(t)
Comparison of two realization of QGSM for
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Comparison of two realization of QGSM (average values)
- Phys. Rev. C78,025291 (2008)
A.Khodjamirian,C. Klein, T.Mannael and Y.-M. Wang Eur.Phys.J.A.48,31(2012)
the uncertainties caused by LCSR of strong couplings the uncertainties caused by the residual function C(t)
for the average values both predictions are consistent with each other within a factor of 2
- av. (AT)
- av. (AK)
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d-diquark
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How to evaluate the di-quark trajectory? is taken as input
[cf. K.Storrow Phys. Rep. 103,135(1984)]
then and allows to identify trajectory of
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t-dependence
- +
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s-dependence
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- Phys. Rev. C78,025291 (2008)
- Eur. Phys. J.A48, 31(2012)
Comparison of two realization of QGSM for
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Double flavor exchange: and in collisions
Cut (pole) diagrams Cutkosky cutting rule
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The vertex amplitudes: “effective region exchange”
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The amplitude of transition is a coherent sum with SU(3) predicts
coupling constant independent amplitude
for
- ne has
the ratio of cross sections looks as intermediate states
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Cross sections total differential
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Exclusive reactions
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38 [cf. K. Boreskov, A.Kaidalov, Sov.J. Nucl.Phys. 37 (1982)]
vs.
[cf. V. Barger, R.Phillips, PRD 12 (1975)]
Differential cross sections Total cross sections
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39 For high energy cf. K. Boreskov, A.Kaidalov, Sov.J. Nucl.Phys. 37 (1982)
For J-PARC energies our work is in a progress
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Summary
We have evaluated the cross sections for reactions, This result may be used for design of PANDA detector and “charm” program at JPARC And for further development
- f the theoretical approaches in “charmed physics”
and for reactions at including double flavor exchange,
ambiguity with residual function!!
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Thank you very much for attention !
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BACKUP
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where Polarized Antiproton EXperiment (PAX)
Longitudinal asymmetries
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spin-flip spin-conserving spin-conserving
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Structure of spin-flip amplitude
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Asymmetry s-dependence
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Asymmetry t-dependence
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Asymmetry s-dependence
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pure vector coupling!!!
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J.Haindenbauer and J.Krein
- Phys. Lett. B 687 (2010)
OBE model
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